MATHEMATICS HIGH SCHOOL

3 and a Half cubes of sand transported at once. How many times do vehicle travel to transport 28 sand cubes. ​

Answers

Answer 1
Answer:

Answer:

8 times

Step-by-step explanation:

28/3.5 = 8

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a catering service offers 4 appetizers, 6 main course, and 12 desserts. a banquet chairperson is to select 3 appetizers, 2 main course and 5 desserts or a banquet. in how many ways can this be done

Answers

If you have 4 appetizers and you need to choose just 3 of them, it would be the same amount of options as just choosing 1 out of the 4; so there are 4 ways to choose the appetizer. For the main course, you are choosing 2 out of 6. So there are 6 ways to choose the first main course, and assuming there is no repeats, there would be 5 ways to choose the next one. However, there will be some overlap, so you need to divide it by 2. So you have (6*5)/(2) =15 options for main course. Finally for dessert, you have 12 desserts to choose from and 5 desserts to choose. So you do a similar thing to the main courses. (12*11*10*9*8)/(5*4*3*2*1) would be the equation you would use. Because there are 12 ways to pick the first dessert, 11 ways for the 2nd and so on until you reach 5 desserts. You divide it by 5*4*3*2*1 or 5! (Factorial) because there are overlaps for each of the 5 so you have to account for those. After solving the equation, there are 792 ways to pick desserts So you now know that you have 4 ways of picking the appetizer, 15 ways for the main course and 972 ways to pick desserts. So for options of the full meal, you need to multiply all these values together: 4*15*792=47520. Therefore, there are 47,520 possible ways this could be done. 

Find the distance between the two points in simplest radical form.
(4,3) and (−2,0)

Answers

Answer:

Step-by-step explanation:

The simplest radical form would be the 3 square root 5. Since the answer would be the square root of 45, the simplest radical would be 3 square root 5

Donald has a coin collection. He has 36 dimes, 72 quarters, and 18 nickels. He wants to arrange them into equal groups with only one type of coin in each group. How many can he put in each group?a. 1
b. 2
c. 3
d. 4 E. 9 F. 12

Answers

The way I understand the question is that he wants to have for example many groups of 2, many groups of 3, etc, etc.

There are many possibilities, so let's just look at all the options!

a. 1
 - it's technically possible, as 36, 72 and 18 are each divisible by 1 (but I don't think it's a "group"
 
b. 2
 - yes, this is possible!  36, 72 and 18 are each divisible by 2 (they're all even)

c. 3
 yes, he can have piles of 3 as 36, 72 and 18 are each divisible by 3
d. 4
NO! they're not divisible by 4

E. 9
yes! it would be 2 piles of nickels, 4 of quarters and 8 of dimes


F. 12
NO! they're not divisible by 12

Simplify each expression numbers 2-5

Answers

Answer:

2. 135

3. 8

4. 9/49 or 0.18367346…

5. b2/125

Step-by-step explanation:

( I couldn't  see what b was equal to if you showed it. And the b2 is b squared)

A worker’s earnings e(n) for n hours when the worker’s hourly wage is $8.25

Answers